Parameter Estimation of a 3d Cardiac Electrophysiology Model including the Restitution Curve Using Optical and Mr Data

Personalisation of a cardiac electrophysiology model is crucial not only to understand and simulate the actual dynamics of pathologies such as arrhythmia, but also to predict the behaviour of the heart in a therapeutic environment. In this paper, we present personalisation of a simplified ionic 3D cardiac electrophysiology model, the MitchellSchaeffer model (2003), for single and multiple heart rates. The personalisation is performed using the epicardial depolarisation and repolarisation maps obtained ex-vivo from optical imaging of large porcine healthy heart. First, we present a method to personalise the model to a constant heart rate, thus estimating the model parameters that could result in model predictions similar to the actual clinical data at the given heart rate used for personalisation. Next, we show a method to personalise the model to the observed actual spatial dispersion of the action potential duration restitution property in order to have model predictions more similar to the clinical data also at multiple heart rates.